Simpson has shouted out Corgan, 42, on Twitter from time to time- and though a source says Jessica has “fallen hard and is smitten,” friends are skeptical the fling will last:

“He’s just another in an endless string of Jessica’s boyfriends,” says the source. “They think he’s too old for her. No one takes any of her boyfriends seriously anymore because she has had so many. They’re sick of all of them being ‘the one.’ “

The source also says the pair consider themselves to be “officially dating.” In other news, Billy Corgan got totally old!